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Finding the Fourth Proportional to 14,404.83, 19,875.18 and 8,117.20

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Solution

The fourth proportional to 14,404.83, 19,875.18 and 8,117.20 is: 11,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.83 : 19,875.18 = 8,117.20 : x
  2. Step 2: Convert to fraction form
    14,404.83/19,875.18 = 8,117.20/x
  3. Step 3: Cross multiply
    14,404.83x = 19,875.18 × 8,117.20
  4. Step 4: Simplify right side
    14,404.83x = 161,330,811.10
  5. Step 5: Solve for x
    x = 161,330,811.10/14,404.83
  6. Step 6: Final answer
    x = 11,199.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.